Question

complete the homework for the week of november 3rd. homework will be open until 6:00 am on monday, december 8th. minimum homework score for resub is a 75% and you will be given 2 attempts. a calculator will be embedded into each question if needed. - slope-intercept form - direct variation - proportional/non-proportional relationship - systems of equations fill in the blank 1 point find the rate of change from the table. x | -3 | -2 | -1 | 0 y | 10.5 |? | 3.5 | 0 rate of change (as a decimal): type your answer...

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). We can use any two points from the table. Let's take \((x_1,y_1)=(-3, 10.5)\) and \((x_2,y_2)=(-1, 3.5)\).

Step2: Calculate the rate of change

Substitute into the formula: \(m=\frac{3.5 - 10.5}{-1-(-3)}=\frac{-7}{2}=- 3.5\). Let's verify with another pair, say \((-1, 3.5)\) and \((0,0)\): \(m=\frac{0 - 3.5}{0 - (-1)}=\frac{-3.5}{1}=-3.5\). So the rate of change is consistent.

Answer:

\(-3.5\)